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Distinguishing the spins of $P_c(4440)$ and $P_c(4457)$ with femtoscopic correlation functions

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arxiv 2305.19048 v2 pith:EOA5OO2A submitted 2023-05-30 hep-ph hep-ex

Zhi-Wei Liu , Jun-Xu Lu , Ming-Zhu Liu , Li-Sheng Geng This is my paper · ORCID
classification hep-phhep-ex
keywords sigmaspinscorrelationstatesdeterminefunctionsinteractionnature
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abstract

The spins of the pentaquark states $P_c(4440)$ and $P_c(4457)$ play a decisive role in unraveling their nature, but remain undetermined experimentally. Assuming that they are $\Sigma_c\bar{D}^{*}$ bound states, we demonstrate how one can determine their spins by measuring the $\Sigma_c^+\bar{D}^{(*)0}$ correlation functions. We show that one can use the $\Sigma_c^+\bar{D}^0$ correlation function to fix the size of the Gaussian source and then determine the strength of the $\Sigma_c^+\bar{D}^{*0}$ interaction of spin $1/2$ and $3/2$ and therefore the spins of the $P_c(4440)$ and $P_c(4457)$ states. The method proposed can be applied to decipher the nature of other hadronic molecules and thus deepen our understanding of the nonperturbative strong interaction.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum interference effects enhanced in $\pi^+p$ femtoscopic correlation functions

    hep-ph 2026-07 conditional novelty 7.0 of 10

    The π⁺p correlation peak near 140 MeV/c arises from quantum interference of incident and scattered waves, while the Δ decay peaks near 220 MeV/c; their m_T-dependent mix explains the ALICE peak shift.

  2. Spectroscopic and femtoscopic insights into vector-baryon interactions in the strangeness $-1$ sector

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The authors predict three Lambda* and two Sigma* resonances from vector-baryon interactions and provide femtoscopy correlation functions for six channels in the S=-1 sector.

  3. Probing the structure of the $D_{s 0}^*(2317)$ and $X(3872)$ states through correlation functions

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Femtoscopic correlation functions for D0K+ and D0Dbar*0 pairs are predicted to be sensitive to the molecular versus bare-state composition of D_s0*(2317) and X(3872).

  4. Finding Low Star Discrepancy 3D Kronecker Point Sets Using Algorithm Configuration Techniques

    cs.NE 2026-04 unverdicted novelty 5.0 of 10

    Optimizing the two Kronecker parameters with irace yields new state-of-the-art L∞ star discrepancy for 3D point sets of size at least 500 and for ranges of sizes.

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